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KonstantinChe [14]
3 years ago
11

You have $98 in your savings account. You withdraw $5.50 and Deposit $22.75 what is the new balance show your work

Mathematics
1 answer:
wlad13 [49]3 years ago
4 0

Answer:

$114.08

Step-by-step explanation:

subtract 5.50 from 98.00 and get 92.05

             98.00

          -    5.50

_______________

             92.5

then add 92.05 and 22.75 to get 114.08

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If 9a + 9b + 9c = 59a+9b+9c=5 ,<br><br>what is 72a + 72b + 72c72a+72b+72c?
Gekata [30.6K]

Answer:

40

Step-by-step explanation:

9a + 9b + 9c = 5

Multiply the equation by 8

8*(9a + 9b + 9c )= 5*8

Distribute

72a +72b +72 c = 40

6 0
3 years ago
A set of final examination grades in a calculus course wasfound to be normally distributed with a mean of 69 and a standarddevia
Aleksandr [31]

Answer:

a) P ( X < 91 ) = 0.9927

b) P ( 65 < X < 91 ) = 0.6585

c) P(81 < X < 89 ) =0.0781

d) X = 83.8

Step-by-step explanation:

Given:

- Mean of the distribution u = 69

- standard deviation sigma = 9

Find:

a. what is the probability of getting a grade of 91 or less on this exam?

b. What percentage of students scored between 65 and 89?

c. What percentage of students scored between 81 and 89?

d. Only 5% of the students taking the test scored higher than what grade?

Solution:

- We will declare a random variable X denoting the score that a student gets on a final exam. So,

                                    X ~ N ( 69 , 9 )

- After defining our variable X follows a normal distribution. We can compute the probabilities as follows:

a) P ( X < 91 ) ?

- Compute the Z-score value as follows:

                                    Z = (91 - 69) / 9 = 2.4444

- Now use the Z-score tables and look for z = 2.444:

                                    P( X < 91 ) = P ( Z < 2.4444) = 0.9927

b) P ( 65 < X < 89 ) ?

- Compute the Z-score values as follows:

                                    Z = (89 - 69) / 9 = 2.2.222

                                    Z = (65 - 69) / 9 = -0.4444

- Now use the Z-score tables and look for z = 2.222 and Z = -0.4444:

                     P(65 < X < 89 ) = P ( -0.444< Z < 2.2222) = 0.6585

b) P ( 81 < X < 89 ) ?

- Compute the Z-score values as follows:

                                    Z = (89 - 69) / 9 = 2.2.222

                                    Z = (81 - 69) / 9 = 1.3333

- Now use the Z-score tables and look for z = 2.222 and Z = 1.333:

                     P(81 < X < 89 ) = P ( 1.333< Z < 2.2222) = 0.0781

c) P ( X > a ) = 0.05 , a?

- Compute the Z-score values as follows:

                                    Z = (a - 69) / 9 = q

- Now use the Z-score tables and look for z value that corresponds to:

                             P( X > a ) = P ( Z > q ) = 0.05

- The corresponding Z-value is: q = 1.6444

Hence,

                               Z = (a - 69) / 9 = 1.644

                               a = 83.8              

4 0
2 years ago
0.77 the digit in the 10th Pl. is how many times as the value digit in the hundreds place
Anna11 [10]
It would be multiplied by 1 because they're the same number
7 0
3 years ago
the weight of a piece of wire is directly proportional to its length. A piece of wire is 25cm long and has a weight of 6 grams.
Allushta [10]

Part A

Weight of a piece of wire is directly proportional to its length

⇒ Weight of wire piece (W) α Length of wire (L)

⇒ W = k × L

When L = 25 cm, then W = 6 gms

⇒ \frac{W}{L} = k

⇒ k = \frac{6}{25}

To calculate weight of 30 cm wire, put value of k and W in the expression W = k × L

⇒ W = \frac{6}{25} × 30

⇒ W = 7.2 gms

Part B

p α m

⇒ p = k × m

If p=48 and m=9

k = \frac{p}{m}

⇒ k =  \frac{48}{9}

Now to calculate p when m = 12, substitute the value of m and k in p = k × m

p = \frac{48}{9} × 12

⇒ p = 64

3 0
3 years ago
I really need to know what's <br>150% of 128
IgorC [24]

It would be: 128*150 / 100 = 19200/100 = 192

so, your answer is 192

4 0
3 years ago
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